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Finding the Fourth Proportional to 1,471.35, 2,030.57 and 973.14

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Solution

The fourth proportional to 1,471.35, 2,030.57 and 973.14 is: 1,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.35 : 2,030.57 = 973.14 : x
  2. Step 2: Convert to fraction form
    1,471.35/2,030.57 = 973.14/x
  3. Step 3: Cross multiply
    1,471.35x = 2,030.57 × 973.14
  4. Step 4: Simplify right side
    1,471.35x = 1,976,028.89
  5. Step 5: Solve for x
    x = 1,976,028.89/1,471.35
  6. Step 6: Final answer
    x = 1,343.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.